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Finding the Fourth Proportional to 16,656, 24,964.56 and 9,256.92

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Solution

The fourth proportional to 16,656, 24,964.56 and 9,256.92 is: 13,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656 : 24,964.56 = 9,256.92 : x
  2. Step 2: Convert to fraction form
    16,656/24,964.56 = 9,256.92/x
  3. Step 3: Cross multiply
    16,656x = 24,964.56 × 9,256.92
  4. Step 4: Simplify right side
    16,656x = 231,094,934.76
  5. Step 5: Solve for x
    x = 231,094,934.76/16,656
  6. Step 6: Final answer
    x = 13,874.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.